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Finding the Fourth Proportional to 4,549.65, 6,822.72 and 1,428.99

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Solution

The fourth proportional to 4,549.65, 6,822.72 and 1,428.99 is: 2,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.65 : 6,822.72 = 1,428.99 : x
  2. Step 2: Convert to fraction form
    4,549.65/6,822.72 = 1,428.99/x
  3. Step 3: Cross multiply
    4,549.65x = 6,822.72 × 1,428.99
  4. Step 4: Simplify right side
    4,549.65x = 9,749,598.65
  5. Step 5: Solve for x
    x = 9,749,598.65/4,549.65
  6. Step 6: Final answer
    x = 2,142.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.